Answer:
v = 0.363 m/s
Explanation:
Given that,
The table is 0.55m tall and the tennis ball lands 0.12m away from the table.
Here, u = 0 (at rest) for initial vertical velocity as it rolls off the edge of a table.
Let t is the time to fall from the vertical height. So,
It can be assumed to find the initial horizontal velocity of the tennis ball. It can be given by :
Hence, the initial horizontal velocity is 0.363 m/s.
Answer:
The velocity of the shell when the cannon is unbolted is 500.14 m/s
Explanation:
Given;
mass of cannon, m₁ = 6430 kg
mass of shell, m₂ = 73.8-kg
initial velocity of the shell, u₂ = 503 m/s
Initial kinetic energy of the shell; when the cannon is rigidly bolted to the earth.
K.E = ¹/₂mv²
K.E = ¹/₂ (73.8)(503)²
K.E = 9336032.1 J
When the cannon is unbolted from the earth, we apply the principle of conservation of linear momentum and kinetic energy
change in initial momentum = change in momentum after
0 = m₁u₁ - m₂u₂
m₁v₁ = m₂v₂
where;
v₁ is the final velocity of cannon
v₂ is the final velocity of shell
Apply the principle of conservation kinetic energy
Therefore, the velocity of the shell when the cannon is unbolted is 500.14 m/s